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Finding the Fourth Proportional to 8,909.70, 12,289.20 and 5,370

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Solution

The fourth proportional to 8,909.70, 12,289.20 and 5,370 is: 7,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.70 : 12,289.20 = 5,370 : x
  2. Step 2: Convert to fraction form
    8,909.70/12,289.20 = 5,370/x
  3. Step 3: Cross multiply
    8,909.70x = 12,289.20 × 5,370
  4. Step 4: Simplify right side
    8,909.70x = 65,993,004.00
  5. Step 5: Solve for x
    x = 65,993,004.00/8,909.70
  6. Step 6: Final answer
    x = 7,406.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.